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An employee is walking home from work and wants to take the long way to get more exercise. The diagram represents the two
different routes, where A is the employee's work and B is the employee's home. Which route is longer and by how much? will mark brainliest

An employee is walking home from work and wants to take the long way to get more exercise The diagram represents the two different routes where A is the employe class=

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BigusBrainus

Answer:

The route from A to the corner to B is longer then going directly from A to B. It is roughly 1.6 miles longer.

Step-by-step explanation:

The distance from A to the corner to B is 5.9 miles because

[tex]3.8 + 2.1 = 5.9[/tex]

Going directly from A to B is roughly 4.3 miles because of

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex]5.9 - 4.3 = 1.6[/tex]

goodLizard

Answer:

Walking to the right and downwards to reach B from A.

Approximately [tex]1.6[/tex] miles.

Step-by-step explanation:

Route 1 - Walking to the right and downwards to reach B from A:

The distance is [tex]2.1+3.8=5.9[/tex] miles

Route 2 - Walking straight to B from A:

[tex]\sqrt{3.8^2+2.1^2} = \sqrt{14.44+4.41}[/tex] (using the Pythagorean theorem, the two lengths are perpendicular)

[tex]=\sqrt{18.85}[/tex]

[tex]=4.341658669[/tex] miles (approximately from calculator)

Since [tex]5.9[/tex] miles is greater than [tex]4.341658669[/tex] miles, therefore walking to the right and downwards to reach home from work is the longest distance.

Difference in distance:

[tex]5.9-4.341658669=1.558341331[/tex] miles

Route 1 is longer than route 2 by [tex]1.558341331[/tex] miles, or approximately [tex]1.6[/tex] miles.

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